0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n089.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 18:37:39 CST 2018
0.00/0.26	% done 8 iterations in 0.054s
0.00/0.26	% SZS status Theorem for 'stdin'
0.00/0.26	% SZS output start Refutation
0.00/0.26	tff(zf_stmt_11, axiom,
0.00/0.26	  (![A:$tType,B:$tType,A0:app_encode_fun(B,app_encode_fun(B,B))]:
0.00/0.26	     (app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.26	                     'const/iterate/monoidal'(B),A0) =>
0.00/0.26	      ((![A1:app_encode_fun(A,B)]:
0.00/0.26	          (app_encode_app(app_encode_fun(A,B),B,
0.00/0.26	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                         app_encode_fun(app_encode_fun(A,B),B),
0.00/0.26	                                         app_encode_app(app_encode_fun(
0.00/0.26	                                                        B,app_encode_fun(B,B)),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,$o),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,B),B)),
0.00/0.26	                                                        'const/iterate/iterate'(
0.00/0.26	                                                        A,B),A0),
0.00/0.26	                                         'const/sets/EMPTY'(A)),
0.00/0.26	                          A1) =
0.00/0.26	           app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),B,
0.00/0.26	                          'const/iterate/neutral'(B),A0))) & 
0.00/0.26	       (![A1:app_encode_fun(A,B),A2:A,A3:app_encode_fun(A,$o)]:
0.00/0.26	          ((app_encode_app(app_encode_fun(B,app_encode_fun(B,B)),$o,
0.00/0.26	                           'const/iterate/monoidal'(B),A0) & 
0.00/0.26	            app_encode_app(app_encode_fun(A,$o),$o,'const/sets/FINITE'(A),
0.00/0.26	                           app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                          app_encode_fun(A,$o),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(A,$o)),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(A,$o))),
0.00/0.26	                                                         'const/iterate/support'(
0.00/0.26	                                                         B,A),A0),A1),
0.00/0.26	                                          A3))) =>
0.00/0.26	           (app_encode_app(app_encode_fun(A,B),B,
0.00/0.26	                           app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                          app_encode_fun(app_encode_fun(A,B),
0.00/0.26	                                                         B),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A,B),A0),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(A,$o)),
0.00/0.26	                                                         'const/sets/INSERT'(
0.00/0.26	                                                         A),A2),A3)),
0.00/0.26	                           A1) =
0.00/0.26	            app_encode_app(B,B,
0.00/0.26	                           app_encode_app(B,app_encode_fun(B,B),
0.00/0.26	                                          app_encode_app($o,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         'const/class/COND'(
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         $o,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         $o),
0.00/0.26	                                                         'const/sets/IN'(A),
0.00/0.26	                                                         A2),A3)),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A,B),A0),A3),A1)),
0.00/0.26	                           app_encode_app(B,B,
0.00/0.26	                                          app_encode_app(B,
0.00/0.26	                                                         app_encode_fun(B,B),
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A,B,A1,A2)),
0.00/0.26	                                          app_encode_app(app_encode_fun(A,B),
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         B,
0.00/0.26	                                                         app_encode_fun(B,B)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(A,B),
0.00/0.26	                                                         B)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A,B),A0),A3),A1)))))))))).
0.00/0.26	tff('0', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	      X2 : $tType, X3 : app_encode_fun(X2, X0)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	         app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	             'const/iterate/iterate'(X2, X0), X1), 'const/sets/EMPTY'(X2)), 
0.00/0.26	         X3)
0.00/0.26	        = app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), X0, 
0.00/0.26	            'const/iterate/neutral'(X0), X1)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X0), X1)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.26	tff(zf_stmt_12, axiom,
0.00/0.26	  (![A:$tType,A0:$tType,A1:app_encode_fun(A,app_encode_fun(A,A)),
0.00/0.26	     A2:app_encode_fun(A0,A),A3:app_encode_fun(A0,$o)]:
0.00/0.26	     (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),A3) =>
0.00/0.26	      app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),
0.00/0.26	                     app_encode_app(app_encode_fun(A0,$o),
0.00/0.26	                                    app_encode_fun(A0,$o),
0.00/0.26	                                    app_encode_app(app_encode_fun(A0,A),
0.00/0.26	                                                   app_encode_fun(app_encode_fun(
0.00/0.26	                                                                  A0,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,$o)),
0.00/0.26	                                                   app_encode_app(app_encode_fun(
0.00/0.26	                                                                  A,
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A,A)),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,A),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,$o),
0.00/0.26	                                                                  app_encode_fun(
0.00/0.26	                                                                  A0,$o))),
0.00/0.26	                                                                  'const/iterate/support'(
0.00/0.26	                                                                  A,A0),A1),
0.00/0.26	                                                   A2),
0.00/0.26	                                    A3))))).
0.00/0.26	tff('1', plain,
0.00/0.26	    ![X7 : $tType, X8 : $tType, 
0.00/0.26	      X9 : app_encode_fun(X8, app_encode_fun(X8, X8)), 
0.00/0.26	      X10 : app_encode_fun(X7, X8), X11 : app_encode_fun(X7, $o)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X7, $o), $o, 'const/sets/FINITE'(X7), 
0.00/0.26	         app_encode_app(app_encode_fun(X7, $o), app_encode_fun(X7, $o), 
0.00/0.26	           app_encode_app(app_encode_fun(X7, X8), 
0.00/0.26	             app_encode_fun(app_encode_fun(X7, $o), app_encode_fun(X7, $o)), 
0.00/0.26	             app_encode_app(app_encode_fun(X8, app_encode_fun(X8, X8)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X7, X8), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X7, $o), 
0.00/0.26	                   app_encode_fun(X7, $o))), 
0.00/0.26	               'const/iterate/support'(X8, X7), X9), X10), X11))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X7, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X7), X11)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_12])).
0.00/0.26	tff('2', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	      X2 : $tType, X4 : X2, X5 : app_encode_fun(X2, $o), 
0.00/0.26	      X6 : app_encode_fun(X2, X0)]:
0.00/0.26	      (app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	         app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	           app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	             app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	             'const/iterate/iterate'(X2, X0), X1), 
0.00/0.26	           app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	             app_encode_app(X2, 
0.00/0.26	               app_encode_fun(app_encode_fun(X2, $o), app_encode_fun(X2, $o)), 
0.00/0.26	               'const/sets/INSERT'(X2), X4), X5)), X6)
0.00/0.26	        = app_encode_app(X0, X0, 
0.00/0.26	            app_encode_app(X0, app_encode_fun(X0, X0), 
0.00/0.26	              app_encode_app($o, app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                'const/class/COND'(X0), 
0.00/0.26	                app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	                  app_encode_app(X2, 
0.00/0.26	                    app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.26	                    'const/sets/IN'(X2), X4), X5)), 
0.00/0.26	              app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	                app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	                    'const/iterate/iterate'(X2, X0), X1), X5), X6)), 
0.00/0.26	            app_encode_app(X0, X0, 
0.00/0.26	              app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.26	                app_encode_app(X2, X0, X6, X4)), 
0.00/0.26	              app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	                app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	                  app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	                  app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	                    'const/iterate/iterate'(X2, X0), X1), X5), X6)))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X2), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X2, X0), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                   app_encode_fun(X2, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X2, X0), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                       app_encode_fun(X2, $o))), 
0.00/0.26	                   'const/iterate/support'(X0, X2), X1), X6), X5))
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X0), X1)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.26	             'const/iterate/monoidal'(X0), X1)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_11])).
0.00/0.26	tff('3', plain,
0.00/0.26	    ![X0 : $tType, X1 : app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	      X2 : $tType, X4 : X2, X5 : app_encode_fun(X2, $o), 
0.00/0.26	      X6 : app_encode_fun(X2, X0)]:
0.00/0.26	      (~ app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), $o, 
0.00/0.26	           'const/iterate/monoidal'(X0), X1)
0.00/0.26	       | ~ app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	             'const/sets/FINITE'(X2), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_app(app_encode_fun(X2, X0), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                   app_encode_fun(X2, $o)), 
0.00/0.26	                 app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                   app_encode_fun(app_encode_fun(X2, X0), 
0.00/0.26	                     app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                       app_encode_fun(X2, $o))), 
0.00/0.26	                   'const/iterate/support'(X0, X2), X1), X6), X5))
0.00/0.26	       | app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	           app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	             app_encode_app(app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	               app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	               'const/iterate/iterate'(X2, X0), X1), 
0.00/0.26	             app_encode_app(app_encode_fun(X2, $o), app_encode_fun(X2, $o), 
0.00/0.26	               app_encode_app(X2, 
0.00/0.26	                 app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                   app_encode_fun(X2, $o)), 'const/sets/INSERT'(X2), X4), X5)), 
0.00/0.26	           X6)
0.00/0.26	          = app_encode_app(X0, X0, 
0.00/0.26	              app_encode_app(X0, app_encode_fun(X0, X0), 
0.00/0.26	                app_encode_app($o, 
0.00/0.26	                  app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                  'const/class/COND'(X0), 
0.00/0.26	                  app_encode_app(app_encode_fun(X2, $o), $o, 
0.00/0.26	                    app_encode_app(X2, 
0.00/0.26	                      app_encode_fun(app_encode_fun(X2, $o), $o), 
0.00/0.26	                      'const/sets/IN'(X2), X4), X5)), 
0.00/0.26	                app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	                  app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	                      'const/iterate/iterate'(X2, X0), X1), X5), X6)), 
0.00/0.26	              app_encode_app(X0, X0, 
0.00/0.26	                app_encode_app(X0, app_encode_fun(X0, X0), X1, 
0.00/0.26	                  app_encode_app(X2, X0, X6, X4)), 
0.00/0.26	                app_encode_app(app_encode_fun(X2, X0), X0, 
0.00/0.26	                  app_encode_app(app_encode_fun(X2, $o), 
0.00/0.26	                    app_encode_fun(app_encode_fun(X2, X0), X0), 
0.00/0.26	                    app_encode_app(
0.00/0.26	                      app_encode_fun(X0, app_encode_fun(X0, X0)), 
0.00/0.26	                      app_encode_fun(app_encode_fun(X2, $o), 
0.00/0.26	                        app_encode_fun(app_encode_fun(X2, X0), X0)), 
0.00/0.26	                      'const/iterate/iterate'(X2, X0), X1), X5), X6)))),
0.00/0.26	    inference('simplify', [status(thm)], ['2'])).
0.00/0.26	tff(zf_stmt_13, conjecture,
0.00/0.26	  (![A:$tType,A0:$tType,A1:$tType,A2:app_encode_fun(A1,app_encode_fun(A1,A1))]:
0.00/0.26	     (app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),$o,
0.00/0.26	                     'const/iterate/monoidal'(A1),A2) =>
0.00/0.26	      ((![A3:app_encode_fun(A,A1)]:
0.00/0.26	          (app_encode_app(app_encode_fun(A,A1),A1,
0.00/0.26	                          app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                         app_encode_fun(app_encode_fun(A,A1),
0.00/0.26	                                                        A1),
0.00/0.26	                                         app_encode_app(app_encode_fun(
0.00/0.26	                                                        A1,
0.00/0.26	                                                        app_encode_fun(A1,A1)),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,$o),
0.00/0.26	                                                        app_encode_fun(
0.00/0.26	                                                        app_encode_fun(A,A1),
0.00/0.26	                                                        A1)),
0.00/0.26	                                                        'const/iterate/iterate'(
0.00/0.26	                                                        A,A1),A2),
0.00/0.26	                                         'const/sets/EMPTY'(A)),
0.00/0.26	                          A3) =
0.00/0.26	           app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),A1,
0.00/0.26	                          'const/iterate/neutral'(A1),A2))) & 
0.00/0.26	       (![A3:app_encode_fun(A0,A1),A4:A0,A5:app_encode_fun(A0,$o)]:
0.00/0.26	          (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),A5) =>
0.00/0.26	           (app_encode_app(app_encode_fun(A0,A1),A1,
0.00/0.26	                           app_encode_app(app_encode_fun(A0,$o),
0.00/0.26	                                          app_encode_fun(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o)),
0.00/0.26	                                                         'const/sets/INSERT'(
0.00/0.26	                                                         A0),A4),A5)),
0.00/0.26	                           A3) =
0.00/0.26	            app_encode_app(A1,A1,
0.00/0.26	                           app_encode_app(A1,app_encode_fun(A1,A1),
0.00/0.26	                                          app_encode_app($o,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         'const/class/COND'(
0.00/0.26	                                                         A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),$o,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),$o),
0.00/0.26	                                                         'const/sets/IN'(A0),
0.00/0.26	                                                         A4),A5)),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),A5),A3)),
0.00/0.26	                           app_encode_app(A1,A1,
0.00/0.26	                                          app_encode_app(A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1),A2,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         A0,A1,A3,A4)),
0.00/0.26	                                          app_encode_app(app_encode_fun(
0.00/0.26	                                                         A0,A1),A1,
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1),
0.00/0.26	                                                         app_encode_app(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A1,A1)),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,$o),
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         app_encode_fun(
0.00/0.26	                                                         A0,A1),A1)),
0.00/0.26	                                                         'const/iterate/iterate'(
0.00/0.26	                                                         A0,A1),A2),A5),A3)))))))))).
0.00/0.26	tff(zf_stmt_0, negated_conjecture,
0.00/0.26	  (~
0.00/0.26	    (![A:$tType,A0:$tType,A1:$tType,
0.00/0.26	       A2:app_encode_fun(A1,app_encode_fun(A1,A1))]:
0.00/0.26	       (app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),$o,
0.00/0.26	                       'const/iterate/monoidal'(A1),A2) =>
0.00/0.26	        ((![A3:app_encode_fun(A,A1)]:
0.00/0.26	            (app_encode_app(app_encode_fun(A,A1),A1,
0.00/0.26	                            app_encode_app(app_encode_fun(A,$o),
0.00/0.26	                                           app_encode_fun(app_encode_fun(
0.00/0.26	                                                          A,A1),A1),
0.00/0.26	                                           app_encode_app(app_encode_fun(
0.00/0.26	                                                          A1,
0.00/0.26	                                                          app_encode_fun(
0.00/0.26	                                                          A1,A1)),
0.00/0.26	                                                          app_encode_fun(
0.00/0.26	                                                          app_encode_fun(
0.00/0.26	                                                          A,$o),
0.00/0.26	                                                          app_encode_fun(
0.00/0.26	                                                          app_encode_fun(
0.00/0.26	                                                          A,A1),A1)),
0.00/0.26	                                                          'const/iterate/iterate'(
0.00/0.26	                                                          A,A1),A2),
0.00/0.26	                                           'const/sets/EMPTY'(A)),
0.00/0.26	                            A3) =
0.00/0.26	             app_encode_app(app_encode_fun(A1,app_encode_fun(A1,A1)),A1,
0.00/0.26	                            'const/iterate/neutral'(A1),A2))) & 
0.00/0.26	         (![A3:app_encode_fun(A0,A1),A4:A0,A5:app_encode_fun(A0,$o)]:
0.00/0.26	            (app_encode_app(app_encode_fun(A0,$o),$o,'const/sets/FINITE'(A0),
0.00/0.26	                            A5) =>
0.00/0.26	             (app_encode_app(app_encode_fun(A0,A1),A1,
0.00/0.26	                             app_encode_app(app_encode_fun(A0,$o),
0.00/0.26	                                            app_encode_fun(app_encode_fun(
0.00/0.26	                                                           A0,A1),A1),
0.00/0.26	                                            app_encode_app(app_encode_fun(
0.00/0.26	                                                           A1,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,A1)),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,A1),A1)),
0.00/0.26	                                                           'const/iterate/iterate'(
0.00/0.26	                                                           A0,A1),A2),
0.00/0.26	                                            app_encode_app(app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           A0,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o)),
0.00/0.26	                                                           'const/sets/INSERT'(
0.00/0.26	                                                           A0),A4),A5)),
0.00/0.26	                             A3) =
0.00/0.26	              app_encode_app(A1,A1,
0.00/0.26	                             app_encode_app(A1,app_encode_fun(A1,A1),
0.00/0.26	                                            app_encode_app($o,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,A1)),
0.00/0.26	                                                           'const/class/COND'(
0.00/0.26	                                                           A1),
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),$o,
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           A0,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),$o),
0.00/0.26	                                                           'const/sets/IN'(
0.00/0.26	                                                           A0),A4),A5)),
0.00/0.26	                                            app_encode_app(app_encode_fun(
0.00/0.26	                                                           A0,A1),A1,
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,A1),A1),
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,A1)),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,A1),A1)),
0.00/0.26	                                                           'const/iterate/iterate'(
0.00/0.26	                                                           A0,A1),A2),A5),A3)),
0.00/0.26	                             app_encode_app(A1,A1,
0.00/0.26	                                            app_encode_app(A1,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,A1),A2,
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           A0,A1,A3,A4)),
0.00/0.26	                                            app_encode_app(app_encode_fun(
0.00/0.26	                                                           A0,A1),A1,
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,A1),A1),
0.00/0.26	                                                           app_encode_app(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A1,A1)),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,$o),
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           app_encode_fun(
0.00/0.26	                                                           A0,A1),A1)),
0.00/0.26	                                                           'const/iterate/iterate'(
0.00/0.26	                                                           A0,A1),A2),A5),A3))))))))))).
0.00/0.26	tff('4', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(sk_A0, 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), 
0.00/0.26	               sk_A4), sk_A5)), sk_A31)
0.00/0.26	        != app_encode_app(sk_A1, sk_A1, 
0.00/0.26	             app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), 
0.00/0.26	               app_encode_app($o, 
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 'const/class/COND'(sk_A1), 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	                   app_encode_app(sk_A0, 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), $o), 
0.00/0.26	                     'const/sets/IN'(sk_A0), sk_A4), sk_A5)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)), 
0.00/0.26	             app_encode_app(sk_A1, sk_A1, 
0.00/0.26	               app_encode_app(sk_A1, app_encode_fun(sk_A1, sk_A1), sk_A2, 
0.00/0.26	                 app_encode_app(sk_A0, sk_A1, sk_A31, sk_A4)), 
0.00/0.26	               app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	                 app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	                   app_encode_app(
0.00/0.26	                     app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                     app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                       app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	                     'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), sk_A5), 
0.00/0.26	                 sk_A31)))),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('5', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_app(sk_A0, 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), sk_A4), 
0.00/0.26	           sk_A5)), sk_A31)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_app(sk_A0, 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), 
0.00/0.26	                 sk_A4), sk_A5)), sk_A31)
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	           'const/sets/FINITE'(sk_A0), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 
0.00/0.26	               app_encode_app(
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(sk_A0, $o))), 
0.00/0.26	                 'const/iterate/support'(sk_A1, sk_A0), sk_A2), sk_A31), 
0.00/0.26	             sk_A5))
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           $o, 'const/iterate/monoidal'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	           'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	        != app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), sk_A1, 
0.00/0.26	             'const/iterate/neutral'(sk_A1), sk_A2)),
0.00/0.26	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.26	tff('6', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), $o, 
0.00/0.26	      'const/iterate/monoidal'(sk_A1), sk_A2),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('7', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_fun(sk_A0, $o), 
0.00/0.26	           app_encode_app(sk_A0, 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), sk_A4), 
0.00/0.26	           sk_A5)), sk_A31)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A0, sk_A1), sk_A1, 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1), 
0.00/0.26	             app_encode_app(
0.00/0.26	               app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), sk_A1)), 
0.00/0.26	               'const/iterate/iterate'(sk_A0, sk_A1), sk_A2), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_fun(sk_A0, $o), 
0.00/0.26	               app_encode_app(sk_A0, 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                   app_encode_fun(sk_A0, $o)), 'const/sets/INSERT'(sk_A0), 
0.00/0.26	                 sk_A4), sk_A5)), sk_A31)
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	           'const/sets/FINITE'(sk_A0), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 
0.00/0.26	               app_encode_app(
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(sk_A0, $o))), 
0.00/0.26	                 'const/iterate/support'(sk_A1, sk_A0), sk_A2), sk_A31), 
0.00/0.26	             sk_A5))
0.00/0.26	     | ~ $true
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	           'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	        != app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), sk_A1, 
0.00/0.26	             'const/iterate/neutral'(sk_A1), sk_A2)),
0.00/0.26	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.26	tff('8', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	           'const/sets/FINITE'(sk_A0), 
0.00/0.26	           app_encode_app(app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_fun(sk_A0, $o), 
0.00/0.26	             app_encode_app(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                 app_encode_fun(sk_A0, $o)), 
0.00/0.26	               app_encode_app(
0.00/0.26	                 app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	                 app_encode_fun(app_encode_fun(sk_A0, sk_A1), 
0.00/0.26	                   app_encode_fun(app_encode_fun(sk_A0, $o), 
0.00/0.26	                     app_encode_fun(sk_A0, $o))), 
0.00/0.26	                 'const/iterate/support'(sk_A1, sk_A0), sk_A2), sk_A31), 
0.00/0.26	             sk_A5))),
0.00/0.26	    inference('simplify', [status(thm)], ['7'])).
0.00/0.26	tff('9', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	           'const/sets/FINITE'(sk_A0), sk_A5)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	           'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	        != app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), sk_A1, 
0.00/0.26	             'const/iterate/neutral'(sk_A1), sk_A2)),
0.00/0.26	    inference('sup-', [status(thm)], ['1', '8'])).
0.00/0.26	tff('10', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	       app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	         app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	           'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	         'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	         'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.26	tff('11', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           $o, 'const/iterate/monoidal'(sk_A1), sk_A2)
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	         'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '10'])).
0.00/0.26	tff('12', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | ~ $true
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	         'const/sets/FINITE'(sk_A0), sk_A5)),
0.00/0.26	    inference('demod', [status(thm)], ['11', '6'])).
0.00/0.26	tff('13', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A0, $o), $o, 
0.00/0.26	      'const/sets/FINITE'(sk_A0), sk_A5),
0.00/0.26	    inference('simplify', [status(thm)], ['12'])).
0.00/0.26	tff('14', plain,
0.00/0.26	    (~ $true
0.00/0.26	     | ~ $true
0.00/0.26	     | app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	         app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	           app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	           app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	             app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	               app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	             'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	           'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	        != app_encode_app(
0.00/0.26	             app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), sk_A1, 
0.00/0.26	             'const/iterate/neutral'(sk_A1), sk_A2)),
0.00/0.26	    inference('demod', [status(thm)], ['9', '13'])).
0.00/0.26	tff('15', plain,
0.00/0.26	    app_encode_app(app_encode_fun(sk_A, sk_A1), sk_A1, 
0.00/0.26	      app_encode_app(app_encode_fun(sk_A, $o), 
0.00/0.26	        app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1), 
0.00/0.26	        app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	          app_encode_fun(app_encode_fun(sk_A, $o), 
0.00/0.26	            app_encode_fun(app_encode_fun(sk_A, sk_A1), sk_A1)), 
0.00/0.26	          'const/iterate/iterate'(sk_A, sk_A1), sk_A2), 
0.00/0.26	        'const/sets/EMPTY'(sk_A)), sk_A3)
0.00/0.26	     != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	          sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2),
0.00/0.26	    inference('simplify', [status(thm)], ['14'])).
0.00/0.26	tff('16', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | ~ app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           $o, 'const/iterate/monoidal'(sk_A1), sk_A2)),
0.00/0.26	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.26	tff('17', plain,
0.00/0.26	    (app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	       sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	      != app_encode_app(app_encode_fun(sk_A1, app_encode_fun(sk_A1, sk_A1)), 
0.00/0.26	           sk_A1, 'const/iterate/neutral'(sk_A1), sk_A2)
0.00/0.26	     | ~ $true),
0.00/0.26	    inference('demod', [status(thm)], ['16', '6'])).
0.00/0.26	tff('18', plain, $false, inference('simplify', [status(thm)], ['17'])).
0.00/0.26	
0.00/0.26	% SZS output end Refutation
0.00/0.26	EOF
